Results 11 to 20 of about 2,929 (211)
Turing Instability of Brusselator in the Reaction-Diffusion Network [PDF]
Complexity, 2020 Turing instability constitutes a universal paradigm for the spontaneous generation of spatially organized patterns, especially in a chemical reaction. In this paper, we investigated the pattern dynamics of Brusselator from the view of complex networks ...
Yansu Ji, Jianwei Shen
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Pattern formation (II): The Turing Instability [PDF]
Proceedings of the American Mathematical Society, 2007 We consider the classical Turing instability in a reaction-diffusion system as the secend part of our study on pattern formation. We prove that nonlinear dynamics of a general perturbation of the Turing instability is determined by the finite number of linear growing modes over a time scale of
Guo, Y, Hwang, HJ
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Turing instabilities in general systems
Journal of Mathematical Biology, 2000 We present necessary and sufficient conditions on the stability matrix of a general n(> or = 2)-dimensional reaction-diffusion system which guarantee that its uniform steady state can undergo a Turing bifurcation. The necessary (kinetic) condition, requiring that the system be composed of an unstable (or activator) and a stable (or inhibitor) subsystem,
Satnoianu, R, Menzinger, M, Maini, P
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Backward Parabolicity, Cross-Diffusion and Turing Instability [PDF]
Journal of Nonlinear Science, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Moussa, Ayman +2 more
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Turing Instability and Spatial Pattern Formation in a Model of Urban Crime [PDF]
MathematicsA nonlinear crime model is generalized by introducing self- and cross-diffusion terms. The effect of diffusion on the stability of non-negative constant steady states is applied.
Isabella Torcicollo, Maria Vitiello
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Concentric ring patterns beyond Turing instability
Physical Review Research, 2023 Various out-of-equilibrium physical systems exhibit concentric ring patterns. However, these patterns are expected to be unstable due to the interaction of spatial modes.
M. G. Clerc +3 more
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Discrete Dynamics in Nature and Society, 2018 A spatiotemporal discrete predator-prey system with Allee effect is investigated to learn its Neimark-Sacker-Turing instability and pattern formation.
Huayong Zhang +4 more
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Effect of a Membrane on Diffusion-Driven Turing Instability [PDF]
Acta Applicandae Mathematicae, 2022 Biological, physical, medical, and numerical applications involving membrane problems on different scales are numerous. We propose an extension of the standard Turing theory to the case of two domains separated by a permeable membrane. To this aim, we study a reaction-diffusion system with zero-flux boundary conditions on the external boundary and ...
Ciavolella, Giorgia
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Advances in Difference Equations, 2018 In this paper, we propose and investigate persistence and Turing instability of a cross-diffusion predator–prey system with generalist predator.
Baojun Miao
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Effect of clustering on Turing instability in complex networks
Chaos: An Interdisciplinary Journal of Nonlinear ScienceTuring instability in complex networks is known to be dependent on the degree distribution, and the necessary conditions for Turing instability have been shown in the literature to have an explicit dependence on the eigenvalues of the Laplacian matrix, which, in turn, depends on the network topology.
Samana Pranesh +2 more
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